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Finding the Fourth Proportional to 419,906,104.10, 629,859,156.15 and 413,103,659.30

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Solution

The fourth proportional to 419,906,104.10, 629,859,156.15 and 413,103,659.30 is: 619,655,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,104.10 : 629,859,156.15 = 413,103,659.30 : x
  2. Step 2: Convert to fraction form
    419,906,104.10/629,859,156.15 = 413,103,659.30/x
  3. Step 3: Cross multiply
    419,906,104.10x = 629,859,156.15 × 413,103,659.30
  4. Step 4: Simplify right side
    419,906,104.10x = 260,197,122,249,175,104
  5. Step 5: Solve for x
    x = 260,197,122,249,175,104/419,906,104.10
  6. Step 6: Final answer
    x = 619,655,488.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.